-(3y+5)-(-2y-8)=5

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Solution for -(3y+5)-(-2y-8)=5 equation:


Simplifying
-1(3y + 5) + -1(-2y + -8) = 5

Reorder the terms:
-1(5 + 3y) + -1(-2y + -8) = 5
(5 * -1 + 3y * -1) + -1(-2y + -8) = 5
(-5 + -3y) + -1(-2y + -8) = 5

Reorder the terms:
-5 + -3y + -1(-8 + -2y) = 5
-5 + -3y + (-8 * -1 + -2y * -1) = 5
-5 + -3y + (8 + 2y) = 5

Reorder the terms:
-5 + 8 + -3y + 2y = 5

Combine like terms: -5 + 8 = 3
3 + -3y + 2y = 5

Combine like terms: -3y + 2y = -1y
3 + -1y = 5

Solving
3 + -1y = 5

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1y = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 5 + -3
-1y = 5 + -3

Combine like terms: 5 + -3 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

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